Chain Rule.pdf - CHAIN RULE Chain Rule is a method for differentiating functions that are the result of a composition CHAIN RULE If \u210e = then \u210e\u2032 =

Chain Rule.pdf - CHAIN RULE Chain Rule is a method for...

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CHAIN RULE Chain Rule is a method for differentiating functions that are the result of a composition. CHAIN RULE: If ℎ( 𝑥) = ?( ?( 𝑥)) then ( 𝑥) = ? ( ?( 𝑥)) ∗ ?′ (𝑥 ) BASIC SHORTCUTS CHAIN RULE SHORTCUTS ?(𝑥) = 𝑥 𝑛 ? (𝑥) = 𝑛𝑥 𝑛−1 ?(𝑥) = ?(𝑥) 𝑛 ? (𝑥) = 𝑛?(𝑥) 𝑛−1 ∗ ?′(𝑥) ?(𝑥) = ? 𝑥 ?′(𝑥) = ? 𝑥 ?(𝑥) = ? 𝑓(𝑥) ? ′(𝑥) = ? 𝑓(𝑥) ∗ ?′(𝑥) ?(𝑥) = ln |𝑥| ?′(𝑥) = 1 𝑥 ?(𝑥) = ln |?(𝑥)| ? ′(𝑥) = 1 ?(𝑥) ∗ ?′(𝑥) Example #1: ?(𝑥) = 3𝑥 7 and

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